Correlation Performance Measures for Phase-Only Correlation Functions Based on Directional Statistics

Shunsuke YAMAKI  Masahide ABE  Masayuki KAWAMATA  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E101-A   No.6   pp.967-970
Publication Date: 2018/06/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E101.A.967
Type of Manuscript: LETTER
Category: Digital Signal Processing
phase-only correlation (POC) functions,  directional statistics,  signal-to-noise ratio (SNR),  peak-to-correlation energy (PCE),  

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This letter proposes performance evaluation of phase-only correlation (POC) functions using signal-to-noise ratio (SNR) and peak-to-correlation energy (PCE). We derive the general expressions of SNR and PCE of the POC functions as correlation performance measures. SNR is expressed by simple fractional function of circular variance. PCE is simply given by squared peak value of the POC functions, and its expectation can be expressed in terms of circular variance.